Diagnosing start problem, 2006 Grand Prix

Thanks for taking the time to reply. It's a 3800 series III. I should've said that. Checked the battery first thing. It's dead now and I've been using a charger to try to start. I'll try to describe what I'm seeing and hearing: When I turn the ignition key to the start position, I hear a rapid series of clicks. If I let go of the key, leaving it in the RUN position, those clicks continue. I have to turn the key either to the ACC or OFF position for the clicks to stop. The clicking makes me think it's the solenoid, but the fact that the clicking continues as I described makes me think it's something else.

Yeah, I pulled the battery and someone's on the way to run me over to NAPA. I'm going to hope that the battery is the problem. I appreciate your help and thanks again.

Final follow-up: replacing the battery fixed the problem. Thanks very much to "tennisshoes". Everyone have a great day.

Hi, I'm having the EXACT same problem Replaced battery with brand new battery but car still will not start. HELP PLEASE

Lights on but want even click or try to start